-7(v+4)+3v+7=8v+7

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Solution for -7(v+4)+3v+7=8v+7 equation:


Simplifying
-7(v + 4) + 3v + 7 = 8v + 7

Reorder the terms:
-7(4 + v) + 3v + 7 = 8v + 7
(4 * -7 + v * -7) + 3v + 7 = 8v + 7
(-28 + -7v) + 3v + 7 = 8v + 7

Reorder the terms:
-28 + 7 + -7v + 3v = 8v + 7

Combine like terms: -28 + 7 = -21
-21 + -7v + 3v = 8v + 7

Combine like terms: -7v + 3v = -4v
-21 + -4v = 8v + 7

Reorder the terms:
-21 + -4v = 7 + 8v

Solving
-21 + -4v = 7 + 8v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-8v' to each side of the equation.
-21 + -4v + -8v = 7 + 8v + -8v

Combine like terms: -4v + -8v = -12v
-21 + -12v = 7 + 8v + -8v

Combine like terms: 8v + -8v = 0
-21 + -12v = 7 + 0
-21 + -12v = 7

Add '21' to each side of the equation.
-21 + 21 + -12v = 7 + 21

Combine like terms: -21 + 21 = 0
0 + -12v = 7 + 21
-12v = 7 + 21

Combine like terms: 7 + 21 = 28
-12v = 28

Divide each side by '-12'.
v = -2.333333333

Simplifying
v = -2.333333333

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